109288640 has 112 divisors (see below), whose sum is σ = 280903680. Its totient is φ = 40381440.

The previous prime is 109288567. The next prime is 109288649. The reversal of 109288640 is 46882901.

It is a junction number, because it is equal to n+sod(n) for n = 109288594 and 109288603.

It is not an unprimeable number, because it can be changed into a prime (109288649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227921 + ... + 228399.

Almost surely, 2^109288640 is an apocalyptic number.

109288640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

109288640 is an abundant number, since it is smaller than the sum of its proper divisors (171615040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109288640 is a wasteful number, since it uses less digits than its factorization.

109288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 109288640 is about 10454.1207186449. The cubic root of 109288640 is about 478.1068953231.

The spelling of 109288640 in words is "one hundred nine million, two hundred eighty-eight thousand, six hundred forty".